Pith Number

pith:IVF27UMP

pith:2010:IVF27UMPU6ADUGOO3NEJTNPPKZ

not attested not anchored not stored refs pending

Ergodic Properties of Invariant Measures for C^{1+\alpha} nonuniformly hyperbolic systems

Chao Liang, Wenxiang Sun, Xueting Tian

arxiv:1011.5300 v1 · 2010-11-24 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IVF27UMPU6ADUGOO3NEJTNPPKZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:31:45.274850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

454bafd18fa7803a19cedb4899b5ef5679fb581701369adb3f5315f851d2ee39

Aliases

arxiv: 1011.5300 · arxiv_version: 1011.5300v1 · doi: 10.48550/arxiv.1011.5300 · pith_short_12: IVF27UMPU6AD · pith_short_16: IVF27UMPU6ADUGOO · pith_short_8: IVF27UMP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IVF27UMPU6ADUGOO3NEJTNPPKZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 454bafd18fa7803a19cedb4899b5ef5679fb581701369adb3f5315f851d2ee39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d551bc7a613bf5fb98b7e6c8b5f9b55423adca80a2f85dbd047b7043e9cc5e9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-24T05:18:44Z",
    "title_canon_sha256": "47a3a98ba759ecd43c984405e54b923d9f6ab9692c050692ba3b1bf9b07bd561"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5300",
    "kind": "arxiv",
    "version": 1
  }
}